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7109980416 = 28347116173
BaseRepresentation
bin1101001111100100…
…11011000100000000
3200100111200102120000
412213302123010000
5104030123333131
63133303320000
7341122556610
oct64762330400
920314612500
107109980416
113019442580
121465150000
13894032406
144b63c8a40
152b92e0ce6
hex1a7c9b100

7109980416 has 720 divisors, whose sum is σ = 27233340288. Its totient is φ = 1791590400.

The previous prime is 7109980391. The next prime is 7109980433. The reversal of 7109980416 is 6140899017.

It is a happy number.

7109980416 is a `hidden beast` number, since 71 + 0 + 99 + 80 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97396956 + ... + 97397028.

Almost surely, 27109980416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7109980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616670144).

7109980416 is an abundant number, since it is smaller than the sum of its proper divisors (20123359872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7109980416 is a wasteful number, since it uses less digits than its factorization.

7109980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 7109980416 is about 84320.6998073427. The cubic root of 7109980416 is about 1922.8975001405.

The spelling of 7109980416 in words is "seven billion, one hundred nine million, nine hundred eighty thousand, four hundred sixteen".